10^2601+1 = 1000000000...<2602> = 7 * 11 * 13 * 19 * 103 * 4013 * 52579 * 57223 * 130051 * 2142001 * 5364487 * 511438099 * 832339891 * 21993833369<11> * 276402747619<12> * 291078844423<12> * 2405782797823<13> * 27608334534637<14> * 587063793048979091<18> * 1972638068686670089<19> * 377526955309799110357<21> * 3434599112338341945743041<25> * 6794665217550790190548807<25> * 42323992639419349049079264521<29> * 1838244563942787886761670945303<31> * 1363267285346876343226104657933729291571<40> * 157393477257579000092993572752789683416120273639369<51> * 1136558791710654899629429576107642694020211020408036719308522808314581197380973<79> * 6923777301528230940787780295400313221683793149948747168301754689555692396138969010514764869002307736762791042459773879699664648964996271733<139> * [5771480751...<424>] * [7309916078...<1592>] (22.51%)
10^2602+1 = 1000000000...<2603> = 101 * 26021 * [3804999845...<2596>] (0.25%)
10^2603+1 = 1000000000...<2604> = 11 * 364393423 * 117651465889<12> * 441651480271681<15> * 676321006412903<15> * 909090909090909091<18> * 218801242136856556680173235529<30> * 3244569580634956101009646791013296826459859399717968478099<58> * [1099999999...<2449>] (5.95%)
10^2604+1 = 1000000000...<2605> = 73 * 137 * 1489 * 7841 * 31249 * 52081 * 700849 * 5202793 * 11110153 * 99990001 * 5419392721<10> * 11189053009<11> * 640543322297<12> * 1220725699657<13> * 27908132670449<14> * 42367299139993<14> * 603812429055411913<18> * 127522001020150503761<21> * 148029423400750506553<21> * 384705444182230291105649<24> * 16584440161215846282167330487128069170776821649169<50> * 23140616853203983900922551785166946660605063239337678349130406077337<68> * 97645954668018846467287180866355758374263120864803042536883990817097<68> * 1194053240550935343606131291791034479414833114386116350011658511441777011841<76> * [3200422413...<716>] * [3690121883...<1429>] (17.66%)
10^2605+1 = 1000000000...<2606> = 11 * 9091 * 47933 * 959145371 * 76142170201<11> * [1896586712...<516>] * [1506186172...<2061>] (1.13%)
10^2606+1 = 1000000000...<2607> = 101 * 11310390940586281<17> * 9758266523956698842354929<25> * 8970741331...<2563> (100.00%)
10^2607+1 = 1000000000...<2608> = 7 * 11^2 * 13 * 23 * 1423 * 4093 * 6637 * 8779 * 132247 * 255487 * 351077 * 521401 * 594397 * 1835329 * 599144041 * 9615060929<10> * 183411838171<12> * 468789698939<12> * 187554020682139<15> * 66443174541490579097997510158021076958392938976011506949065646573<65> * 1251990291329257796002278912741887225923362508309806834359341444948291275981327174223618327402150792085738318266379138644493775947105115101637978649<148> * [1175032424...<746>] * [1899092885...<1541>] (12.34%)
10^2608+1 = 1000000000...<2609> = 353 * 449 * 641 * 1409 * 69857 * 322390529 * 688131233 * 58388755808670433<17> * [7719998819...<2558>] (1.92%)
10^2609+1 = 1000000000...<2610> = 11 * 1038383 * 5336060245133<13> * 1549339884595838182802063495302219<34> * 2120884813255548918714918383096386943<37> * [4993042214...<2520>] (3.42%)
10^2610+1 = 1000000000...<2611> = 61 * 101 * 181 * 349 * 1741 * 2089 * 3541 * 9901 * 15661 * 27961 * 38861 * 591601 * 618049 * 997369 * 4188901 * 31753261 * 39526741 * 44293441 * 46659841 * 1108860589<10> * 1452031741<10> * 803137587589<12> * 999999000001<12> * 15565833747318241<17> * 2102595954900526861<19> * 297539144610727899181<21> * 1767955366388381478541<22> * 4999437541453012143121<22> * 157002934023127338801841<24> * 1105097795002994798105101<25> * 650879996698098220470166549<27> * 2122059937446676383606257085781<31> * 4477350074169470752905544969081<31> * 14087942679857610940613213182901<32> * 925473240150495502771483432977308389<36> * 11811806375201836408679635736258669583187541<44> * 60567370378102931159842571650342558304322238516849<50> * 2004594328563924403139229874961691116225480361118012967681424919657782526297077161<82> * 2022907403453455435045739409943184658625113693600363497128797657397794468271632034457525101<91> * 38500497070688096027556817882565728990416892548263819672284096593431517949011701136219584563960572421<101> * 3416328483006512256320335979072423448945322454006830297255949627404017992115810552611056496561408407441<103> * 26636991712927480521302468238210196842574038046073718232654640482565934665811782665421629637128815459489120609513028739841141750121254557418299333497201<152> * 2957270207...<219> * [5778030075...<668>] * [1105096689...<673>] (48.67%)
10^2611+1 = 1000000000...<2612> = 11 * 909091 * 38115379 * 746261283517<12> * 90060564940204590241091<23> * 31789742592325236493677867077<29> * 216526856157522033346992833381986034131<39> * [1466472307...<283>] * [3867243235...<2213>] (4.45%)
10^2612+1 = 1000000000...<2613> = 73 * 137 * 39031040316479833<17> * [2561807222...<2592>] (0.79%)
10^2613+1 = 1000000000...<2614> = 7 * 11 * 13^2 * 157 * 859 * 6397 * 7237 * 10453 * 130651 * 216451 * 1058313049<10> * 17830074841<11> * 388847808493<12> * 1169982318623<13> * 851109498533797<15> * 7787649669673771<16> * 45360300267343173645804799921<29> * 909090909090909090909090909090909090909090909090909090909090909091<66> * 220589842618680198991086731354678488275926380957742565496334997548411735059<75> * 9401851485...<780> * [8556207285...<1559>] (40.34%)
10^2614+1 = 1000000000...<2615> = 101 * 1030469560663241<16> * [9608231506...<2597>] (0.65%)
10^2615+1 = 1000000000...<2616> = 11 * 9091 * 3920488472716099<16> * [2318820512...<507>] * [1099989000...<2089>] (0.79%)
10^2616+1 = 1000000000...<2617> = 17 * 5233 * 5882353 * 770312593 * 18059242081<11> * 169679101873<12> * 9999999900000001<16> * 3831796138952006881<19> * 37408174120552729393<20> * 1549873960298557905236593<25> * 43922242252020060474812593<26> * 5941732520...<820> * [1396341040...<1651>] (36.92%)
10^2617+1 = 1000000000...<2618> = 11 * [9090909090...<2616>] (0.04%)
10^2618+1 = 1000000000...<2619> = 29 * 89 * 101 * 281 * 2381 * 7481 * 18708229 * 28559389 * 121499449 * 1052788969<10> * 1056689261<10> * 1491383821<10> * 39511854229<11> * 155623169021<12> * 275855329893529<15> * 2324557465671829<16> * 20087794479102305428621<23> * 5582637833682557709253612812885341475900082138954691763178176941<64> * 13712255219708533473813623053189821987961076229175414555827926545777661379291311684923609<89> * 25561948931738399180959860493035633005346674997219855227412314112685523898853595360610683149167147379131162769<110> * [8675359172...<305>] * [5292318208...<1913>] (15.29%)
10^2619+1 = 1000000000...<2620> = 7 * 11 * 13 * 19 * 10477 * 52579 * 324757 * 70541929 * 14175966169<11> * 110023954291<12> * 1191471327127<13> * 213883303216249<15> * 102527361354613106010527<24> * 1050177580661792271099979<25> * 535845096217228836681072091<27> * 323338434891034089173475790125293<33> * 116089721943926115626614365020206939<36> * 27422699366054621683295623079471066588881<41> * 120993298365129876163173210302328063293143<42> * 9082330292251962304688193151167683450110136179543368546373275157823981917087560492592244850476097147293654306654509712541945987920778472370936173919077<151> * [1115656535...<464>] * [1439675443...<1709>] (17.10%)
10^2620+1 = 1000000000...<2621> = 73 * 137 * 9433 * 1676321 * 5964848081<10> * 13065719921<11> * 83572468886561<14> * [1268362829...<503>] * [7654381128...<2070>] (1.83%)
10^2621+1 = 1000000000...<2622> = 11 * 644767 * 7698168064164182859741844327<28> * 643083186967699780266670713918928931<36> * [2848065477...<2551>] (2.69%)
10^2622+1 = 1000000000...<2623> = 101 * 229 * 829 * 1289 * 2281 * 4789 * 9901 * 1569889 * 8259301 * 304077901 * 1440247121<10> * 1902795889<10> * 21631222069<11> * 18371524594609<14> * 52875286008709<14> * 536430531035337769<18> * 722817036322379041<18> * 739653893349540289<18> * 1369778187490592461<19> * 757108543129939106221<21> * 33950736420661075851541<23> * 4181003300071669867932658901<28> * 8177669991059740173635806566781<31> * 19108466176791400681292709171992566565029<41> * [4799880529...<735>] * [5203395727...<1575>] (11.92%)
10^2623+1 = 1000000000...<2624> = 11 * 81131 * 57009401 * 2182600451<10> * 3086236572066918985459<22> * 7306116556571817748755241<25> * 11205222530116836855321528257890437575145023592596037161<56> * [3564211538...<2499>] (4.74%)
10^2624+1 = 1000000000...<2625> = 19149953 * 1265011073<10> * 15343168188889137818369<23> * 515217525265213267447869906815873<33> * [5221944931...<2553>] (2.72%)
10^2625+1 = 1000000000...<2626> = 7^2 * 11 * 13 * 127 * 211 * 241 * 251 * 1051 * 2161 * 2689 * 5051 * 7001 * 9091 * 21001 * 162251 * 459691 * 909091 * 4147571 * 3612546001<10> * 10893295001<11> * 29970369241<11> * 299547376801<12> * 55193632205251<14> * 78875943472201<14> * 1661378260814161<16> * 2916035767139251<16> * 265212793249617641<18> * 3146327779391852182051<22> * 18276168846821336356291<23> * 22771401850597648936801<23> * 25005172023963824973001<23> * 17911809459808314248342142601<29> * 59244397795882902986928930001<29> * 10000099999999989999899999000000000100001<41> * 4709825349852110182615878875374419529306990314325041101342026868334001<70> * 24971969849212163241656989542667006849298004553698828087959894069143145851<74> * 14332371646347867103751140722104256371688921437307256086517631268211025054763001<80> * 269409792871731627664586194662281233853701011108906726055753272681082282441709251<81> * 29689777727695129732880485994429776791862651873860748152980797376212977017452165562616616651<92> * 924113758530847383764787530400912659976463549693743820952869672176334445090649182638712486115217201<99> * [1428367376...<597>] * [6213240696...<1171>] (32.69%)
10^2626+1 = 1000000000...<2627> = 101^2 * 521 * 3679329001<10> * 19384130081<11> * 12793360409007449<17> * 1900381976777332243781<22> * 4908990488743183603681<22> * 5383539446793990416488818114381662511041<40> * 147987024898557331825270928295100820916509<42> * 274709671055935535763734628625616947603714681537231287179261<60> * [1009999999...<2401>] (8.61%)
10^2627+1 = 1000000000...<2628> = 11 * 7253 * 94573 * 290249 * 422650073734453<15> * 296557347313446299<18> * 139437923042444429039292216424521209211929<42> * 31321069464181068355415209323405389541706979493156189716729115659<65> * [8341508836...<2474>] (5.83%)
10^2628+1 = 1000000000...<2629> = 73^2 * 137 * 1753 * 3169 * 98641 * 468953 * 99990001 * 3199044596370769<16> * 162393769017609303761<21> * 972234562027718778906635682891369717286635199884272325005809<60> * 14999165155859618821508723922939117714174412730158634078875737296006185810419004608104019977<92> * 7035824104334249358887740710881970075945291109469322153083026920245824611188573249681116336645956647224241<106> * 1000099999...<577> * [1000000000...<1729>] (34.25%)
10^2629+1 = 1000000000...<2630> = 11^2 * 23 * 4093 * 8779 * 4280427383<10> * 508399838327574001<18> * 2846390188891241030645451773087716881978563746547069042984813032147999326242449<79> * 6282138071505210318841228543562283508437569619884438177000652801796615935488955777747431198279234592543622766101015393665597896857185313159459<142> * [2569836844...<2371>] (9.84%)
10^2630+1 = 1000000000...<2631> = 101 * 3541 * 5261 * 27961 * 119929 * 163061 * 4713491261<10> * 740333175521<12> * 179033212823761<15> * 318140069828600155979775172503121<33> * 13268398183394556944627542607703521<35> * [1182680989...<482>] * [1883271763...<1007>] * [1654765213...<1017>] (4.81%)
10^2631+1 = 1000000000...<2632> = 7 * 11 * 13 * 128420793841<12> * 43364226301416069100877233327<29> * [9090909090...<876>] * [1973293363...<1713>] (1.62%)
10^2632+1 = 1000000000...<2633> = 17 * 113 * 10529 * 84977 * 173713 * 3056129 * 5882353 * 106027489 * 801310897 * 71306567377<11> * 504153431234209<15> * 73765755896403138401<20> * 17432639655812883290745409<26> * 119968369144846370226083377<27> * 24675897452175673572108819041<29> * 497739854873037449538282211022770570513<39> * 3147442559...<245> * [1022820336...<2177>] (17.32%)
10^2633+1 = 1000000000...<2634> = 11 * 102847744651<12> * 324100610038568587698377143018423<33> * [2727298627...<2589>] (1.69%)
10^2634+1 = 1000000000...<2635> = 101 * 9901 * 131701 * 84831373129<11> * 185805054414746269<18> * 32524550757016458408427921<26> * 69645109833863819419647310441<29> * [3588482418...<840>] * [5926301132...<1701>] (3.56%)
10^2635+1 = 1000000000...<2636> = 11 * 103 * 4013 * 9091 * 11161 * 63241 * 87211 * 787223761 * 21993833369<11> * 3925963357681<13> * 5167617497664851<16> * 909090909090909090909090909091<30> * 25110172975670328882505490925107068552949771<44> * 160220794821014452066741918303580917664386555934641<51> * 4857900688365130469291831549890842547443917376935406225054646143856579892970236911030721<88> * [4380694633...<437>] * [1437516800...<1916>] (10.75%)
10^2636+1 = 1000000000...<2637> = 73 * 137 * 5273 * 15817 * 2275459432484542775260904137<28> * 5268725707...<2597> (100.00%)
10^2637+1 = 1000000000...<2638> = 7 * 11 * 13 * 19 * 52579 * 86143 * 216057266988955453<18> * 219823779171106370521<21> * 1817112004270605889939<22> * 9090909090...<292> * [1275670801...<580>] * [1159868707...<1694>] (13.84%)
10^2638+1 = 1000000000...<2639> = 101 * 117960809 * 445943865049<12> * [1882177988...<2617>] (0.82%)
10^2639+1 = 1000000000...<2640> = 11 * 59 * 859 * 19489 * 909091 * 1525343 * 21705503 * 243720583 * 1058313049<10> * 52129014224561<14> * 2563963356465898129<19> * 154083204930662557781201849<27> * 13569612563320403017443683179<29> * 10557304966503810141196212383472343369213<41> * 484688693362852875650185421098728254915802251<45> * 2680052779284995695116101096172766967989394552173439874009704597<64> * 50678387411703889101759125785290439894389920385627096501794498837<65> * 6656280510176649041177006666533233898159823895551612176879783493172755702305410407269034716016715927564139783<109> * [8468109194...<228>] * [1082947156...<1957>] (17.24%)
10^2640+1 = 1000000000...<2641> = 97 * 353 * 449 * 641 * 1409 * 11969 * 14081 * 69857 * 123553 * 177601 * 206209 * 1634881 * 4913921 * 18453761 * 66554101249<11> * 470909313601<12> * 947147262401<12> * 75118313082913<14> * 5054095645487169601<19> * 349954396040122577928041596214187605761<39> * 585903038877880401685466313109511755841<39> * 1786971871341978412769793172635403245447905376001<49> * 315091637261160879997346594408168422516385623286349240690538356681453806401<75> * 361057759540097288072937247979725352972055181853408265699800478521559326591153094457376181755912540092512773699689532234798987224827675649<138> * [8093692585...<315>] * [2398265690...<579>] * [9999999999...<1280>] (17.68%)
10^2641+1 = 1000000000...<2642> = 11 * 557 * 2503 * 909090909090909091<18> * 652065570931334169846518762110895357104035953330623783530923329412897765703841859492780362601926814638167836591846272150911969126521<132> * [1099999999...<2485>] (5.94%)
10^2642+1 = 1000000000...<2643> = 101 * 137321668403085181<18> * 8454032303192889801996450518846141<34> * [8528558877...<2589>] (2.01%)
10^2643+1 = 1000000000...<2644> = 7 * 11 * 13 * 1453651 * 312312739 * 1978444081<10> * 17711949274714801<17> * 9022769640122436503<19> * [1821425390...<837>] * [3820979225...<1745>] (2.35%)
10^2644+1 = 1000000000...<2645> = 73 * 137 * 51270493596949373893274473<26> * [1950244555...<2615>] (1.12%)
10^2645+1 = 1000000000...<2646> = 11 * 47 * 139 * 691 * 2531 * 9091 * 549797184491917<15> * 2384821050003211<16> * 49488508644018419<17> * 55383551841375403091<20> * 184030479424322975701872611<27> * 15918798843849477568899983937931966555877132981347465830696251648192619376266439940521<86> * [2020671116...<490>] * [4114088613...<1963>] (7.30%)
10^2646+1 = 1000000000...<2647> = 29 * 101 * 109 * 281 * 1009 * 3529 * 9901 * 153469 * 226549 * 121499449 * 43266855241<11> * 798065987041<12> * 999999000001<12> * 833147737695001<15> * 915296977318249<15> * 1270225934696095021<19> * 4458192223320340849<19> * 71287650026045436627770869<26> * 59779577156334533866654838281<29> * 32947048425915036940409828576569<32> * 165358820733883770736233015527320175869593121<45> * 22906246896437231227899575633620139766044690040039603689929<59> * 23742102289472351423104605582718329399560972065457968561934785062599221<71> * 344410449392555791991391842565560527204857067026484035552706583597118812185729<78> * 999999999999990000000000000099999999999999000000000000009999999999999900000000000001<84> * 17558859918233971274267353045256604123625708155378236163954582400346807794005623131429977614689<95> * 42119269296696900571911233210284860119181841417224327914548495484369630946481330639729038447921181<98> * 1032309224...<455> * [1511833260...<1442>] (45.53%)
10^2647+1 = 1000000000...<2648> = 11 * 9942133 * 24389459 * 10482640530873283007089<23> * 2262521809576531396621213<25> * [1580746073...<2586>] (2.33%)
10^2648+1 = 1000000000...<2649> = 17 * 5297 * 111217 * 5882353 * 6927169 * 4541345795832698623346837773409<31> * [5395832895...<2594>] (2.05%)
10^2649+1 = 1000000000...<2650> = 7 * 11 * 13 * 3533 * 10597 * 386236903818131<15> * 1363310105570521<16> * 23341218662287312957<20> * 1796709486977412994959502244801<31> * [1588577921...<815>] * [7606432565...<1745>] (3.39%)
10^2650+1 = 1000000000...<2651> = 101 * 1061 * 3541 * 4241 * 10601 * 27961 * 60101 * 1103461 * 5051749 * 7019801 * 1112189101<10> * 14103673319201<14> * 1680588011350901<16> * 245391150214875249502685807421982149521<39> * 5087682140647502286078523305727177388588041<43> * 75277048352808729626679875852901448034540173569840168229<56> * 1866584856050670751142049533200645741569755944852998334484263922627299824538001<79> * 280517222628603122390686614439126500799061436412421614868318075012972094155878306621<84> * 22534789481525070481066146802824209631029690388674663333618185041786620876200193924826168812981<95> * 33913181517084707700704620761515427690622077866060861977911749380448408900845560502173926937552593567761<104> * [8901811750...<1031>] * [1010050200...<1041>] (21.85%)
10^2651+1 = 1000000000...<2652> = 11^2 * 23 * 4093 * 5303 * 8779 * 11087 * 140263 * 166118970220264489<18> * 2065548882433064749302848511798666276437<40> * 10734328616712968433093169061034947601976065423298090207036703<62> * 158715941546670849311391020024189333149081432811742569113700460903741956467151269742335031378183866433849119125209<114> * [2074297567...<2397>] (9.61%)
10^2652+1 = 1000000000...<2653> = 73 * 137 * 313 * 2857 * 1101673 * 1580801 * 13266937 * 99990001 * 152533657 * 306745325017<12> * 74923940370137<14> * 1119527384827710553<19> * 1358074433371719716641<22> * 291593563046646669491593<24> * 53043011765949537815976769<26> * 1754696500121460304617371593<28> * 632527440202150745090622412245443923049201<42> * 7323941687838105624847742701467683590147273<43> * 65552746171882583264230070868884366877803237222654400793<56> * 44432384794221343755897441742032531086615578692097502509412995439256236377<74> * [2479949603...<716>] * [9999000100...<1536>] (15.11%)
10^2653+1 = 1000000000...<2654> = 11 * 10613 * 909091 * 6510463 * 30817249 * 2111936569<10> * 4918445244727502358176820280164673127<37> * 33584520860278767011970207517032237108309731086439023<53> * [1682706163...<278>] * [8000182540...<2252>] (4.67%)
10^2654+1 = 1000000000...<2655> = 101 * 5309 * 248962265221<12> * 837854460330325445101<21> * [8940540772...<2616>] (1.43%)
10^2655+1 = 1000000000...<2656> = 7 * 11 * 13 * 19 * 211 * 241 * 1063 * 1889 * 2161 * 6373 * 9091 * 29611 * 52579 * 3762091 * 2208217663<10> * 60247408327<11> * 402862563361<12> * 1270660938013<13> * 8985695684401<13> * 58024652272828291<17> * 968385024074451409<18> * 2676157881043509853<19> * 22554758909969009407<20> * 1090805842068098677837<22> * 2353867026803341982771<22> * 25602601418102182972721<23> * 6628925590922901572512321<25> * 193428272579096534429098931<27> * 803454205095303821868753731<27> * 1497569426218349119084237939<28> * 3203031926532314264104769060847481<34> * 4411922770996074109644535362851087<34> * 38072168879843482870802927929991371<35> * 219734968010040680865912320713950289<36> * 216300405364911283995901633078340436727<39> * 1174468140649914584097264138153408637853221082957239399275046690523556598768034374284436218737159495708861498925726659983288086179744161<136> * [7207801995...<235>] * 1372785208...<440> * [1122506453...<1330>] (41.10%)
10^2656+1 = 1000000000...<2657> = 15937 * 19841 * 976193 * 6187457 * 834427406578561<15> * 53337029907954779826280566977<29> * [1176425959...<2592>] (2.44%)
10^2657+1 = 1000000000...<2658> = 11 * [9090909090...<2656>] (0.04%)
10^2658+1 = 1000000000...<2659> = 101 * 9901 * 1584169 * 34304801641485241<17> * 1715636541285455667635429<25> * [5771030087...<860>] * [1858508349...<1746>] (1.99%)
10^2659+1 = 1000000000...<2660> = 11 * 90407 * 191449 * 3993584009<10> * [1315192518...<2639>] (0.79%)
10^2660+1 = 1000000000...<2661> = 73 * 137 * 457 * 7841 * 851761 * 1403417 * 1676321 * 5964848081<10> * 260827749862793<15> * 202797315945355601<18> * 5240808656722481737<19> * 127522001020150503761<21> * 12231385993824607429587973444912801<35> * 297478330786365628414805305290302483555043017<45> * 1174155661036370531158387153086358732085761158354280249987966107746175275693416345665039841<91> * 8176505920...<254> * [3834331280...<418>] * [4930538677...<1711>] (19.99%)
10^2661+1 = 1000000000...<2662> = 7 * 11 * 13 * 97571 * 27616779441536964502969<23> * 3840112272376573422896653081<28> * [9317224473...<881>] * [1036195386...<1723>] (2.18%)
10^2662+1 = 1000000000...<2663> = 89 * 101 * 56629 * 170369 * 29606281 * 1052788969<10> * 1056689261<10> * 1491164086760128255001869<25> * 2800475559675832281852870811441<31> * 16847214377007773919903093260669<32> * 209363088773816814667969748813613304559806235889961<51> * 112140147722111043368115238376781750396610212197485327927551327238484846570899558676962628229357741668578262708884771183293753569<129> * [2119532649...<2359>] (11.41%)
10^2663+1 = 1000000000...<2664> = 11 * 111847 * 50048423 * 37988180852108384581373<23> * 38945950518439851052087<23> * [1097695219...<2605>] (2.21%)
10^2664+1 = 1000000000...<2665> = 17 * 593 * 1777 * 8929 * 1539793 * 5882353 * 7228321 * 277796593 * 9999999900000001<16> * 14645119755678294049<20> * 66880085286125796608803681<26> * 2430356574005120498845908043009873<34> * 111994624258035614290513943330720125433979169<45> * 1686340623...<286> * 2187319485...<514> * [3495537178...<1688>] (36.65%)
10^2665+1 = 1000000000...<2666> = 11 * 131 * 859 * 9091 * 1023361 * 20289179 * 1058313049<10> * 353260760112204881<18> * 2670502781396266997<19> * 3404193829806058997303<22> * 436026711667335044426416921<27> * 5780277672136021382565530998301988506064011453<46> * 8396862596258693901610602298557167100076327481<46> * 25227559933282973049929756675369873687524422119109873612963516263168625757367193407132891393542516779351543564997326723299457284056291<134> * [2655119735...<410>] * [8883473182...<1914>] (12.82%)
10^2666+1 = 1000000000...<2667> = 101 * 338669 * 613181 * 2049349 * 16485209793542449671554621<26> * 483128549554512237305554588359039822397307149685578249<54> * 2923500556298303355222653948542706598448925085853709961673200056984872843366529<79> * [9991672854...<2489>] (6.64%)
10^2667+1 = 1000000000...<2668> = 7^2 * 11 * 13 * 127^2 * 2287 * 2689 * 3557 * 459691 * 909091 * 15943327 * 857772733 * 1094479651<10> * 1125629957<10> * 451897625287<12> * 45554137998223<14> * 616896149073719728613<21> * 4514666454616035926293<22> * 10860110813777339731289<23> * 1053449334720579590200819<25> * 52034716615139419063969613<26> * 1515780514077670348158815644201<31> * 425025621750857025548663809587331<33> * 1502965420159918762218214093655809<34> * 36099531273603138218699301565567581705151216702113889<53> * 4444349792156709907895752551798631908946180608768737946280238078881<67> * 227106988265159616528571981140572415396122551755756282296008613353922816015404819504625289055134338407924996143023758066472872886277706507970899321<147> * [3089139056...<679>] * [1544425018...<1424>] (21.20%)
10^2668+1 = 1000000000...<2669> = 73 * 137 * 233 * 2393 * 355193 * 56348161 * 214651273 * 21591416633<11> * 17468739848498438039329935679794457<35> * 320326994163169943384295066992439316655840979654890345228609<60> * 4178437150016715837818641871709193476807772628503969494400330129962348520684914375257<85> * [8268566280...<2448>] (8.25%)
10^2669+1 = 1000000000...<2670> = 11 * 103 * 4013 * 4397 * 3641773 * 21993833369<11> * 248294747971<12> * 56772494575417679209143612613936371702842084190817259161711159777577563483338093894447335028905724214106839545113870547643014663862360146330362411<146> * [4430218556...<2485>] (6.91%)
10^2670+1 = 1000000000...<2671> = 61 * 101 * 1069 * 3541 * 9901 * 27961 * 38449 * 135281 * 138841 * 4188901 * 6637621 * 39526741 * 56983141 * 463864441 * 57431716021<11> * 96227440801<11> * 1457410742401<13> * 27011502947658641<17> * 336110303423002201<18> * 558473842263442646521<21> * 599228973028194818837581<24> * 836897905421067963377341<24> * 337425295721754772647050281<27> * 56503245376088547813059910301<29> * 833845535443385228657693694666672878355349<42> * 230054176775871192653155644863986529554894561<45> * 1770802747819705674494038777570386129969127178558041<52> * 7660395383708237627973789216434577857253936548886784731800803873631881<70> * 18547092770394661955046893866403953444141877738854819606028843831344546174591125346548473015452312338456023705554686130669604243301021812682716262365263155956618360389<167> * 229309540864730370446351041336642124666412732568576712467129620907478696860845273528375114013975382707715890725000190512690089662245103560674851784962287610720434009040255487398947007833539127001301<198> * [1133072310...<308>] * 3158469855...<324> * 3444252621...<575> * [1386072464...<632>] (64.86%)
10^2671+1 = 1000000000...<2672> = 11 * 320521 * 400651 * 1065171028583093087<19> * [6646075171...<2641>] (1.13%)
10^2672+1 = 1000000000...<2673> = 353 * 449 * 641 * 1409 * 69857 * 18466066517537<14> * 412520656171297<15> * [1312743584...<2629>] (1.64%)
10^2673+1 = 1000000000...<2674> = 7 * 11^2 * 13 * 19 * 23 * 487^2 * 1459 * 1783 * 4093 * 7129 * 8779 * 52579 * 69499 * 427681 * 67430557 * 70541929 * 146895607 * 599144041 * 756065179 * 2458921051<10> * 7093127053<10> * 14175966169<11> * 183411838171<12> * 1008776328735583<16> * 456502382570032651<18> * 610600386089858349939139<24> * 8927244623941181398233253<25> * 1672233253174133271465377689<28> * 445514740907997463826918277583<30> * 1866763546567680996103417376059<31> * 22663213771462227811088536403512441819<38> * 141122524877886182282233539317796144938305111168717<51> * 112970308382439859401726947341740704554951737408511354573<57> * 74507557122096964531006066514788984423438931950911932421947947339<65> * 899718757349577828631761341730093220713822770643140264600436229195941807849819816835925771559643276518390048146301688389176642719947087961896703<144> * [4957950145...<438>] * [1398244719...<1588>] (24.25%)
10^2674+1 = 1000000000...<2675> = 29 * 101 * 281 * 77929 * 106961 * 1101689 * 121499449 * 484641109 * 72318410221<11> * 994384717229<12> * 13968004259021399202183274452648726337203224861<47> * [8503930644...<324>] * [2630502987...<2243>] (4.03%)
10^2675+1 = 1000000000...<2676> = 11 * 251 * 1499 * 5051 * 9091 * 28463 * 74687 * 392263 * 795653 * 7912651 * 2607209081<10> * 78875943472201<14> * 520844005510608743851<21> * 3842232569207913463201<22> * 9542548805171863853651<22> * 9140689231828972552925524522037823147045937571379494322686226282352288670801988451<82> * [4219028723...<415>] * [6617997869...<2049>] (7.91%)
10^2676+1 = 1000000000...<2677> = 73 * 137 * 16057 * 128449 * 3120217 * 99990001 * 60426672084225841<17> * 1879805501181496849<19> * 77720932598970770971176668683177333921<38> * [8012243918...<846>] * [2196778695...<1730>] (3.77%)
10^2677+1 = 1000000000...<2678> = 11 * 16063 * 123143 * 5660228885253382294851368611<28> * [8119642957...<2639>] (1.42%)
10^2678+1 = 1000000000...<2679> = 101 * 521 * 16069 * 801341 * 29286597879221<14> * 1900381976777332243781<22> * 33670587927455442579575167786879669<35> * 95000575486937988681435170477136054984821<41> * 13189107332310223355029963340219071854700685799054091470161603102678459019911637791726472505162050327675229109<110> * [6285394237...<2444>] (8.75%)
10^2679+1 = 1000000000...<2680> = 7 * 11 * 13 * 6299 * 344887 * 1458973 * 9127213 * 155891011 * 65234226076087<14> * 4855067598095567<16> * 909090909090909091<18> * 27632013427105577209<20> * 1160803383934463712259<22> * 297262705009139006771611927<27> * 753201806271328462547977919407<30> * 30073566270559048948142559741512708796590524703892560552659<59> * [1099999999...<829>] * [3238413289...<1615>] (8.83%)
10^2680+1 = 1000000000...<2681> = 17 * 3217 * 1010897 * 1457921 * 4374833 * 5070721 * 5882353 * 885407681 * 2929274744593<13> * 15824802990282401<17> * 19721061166646717498359681<26> * [2399498265...<500>] * [4895357527...<2081>] (3.73%)
10^2681+1 = 1000000000...<2682> = 11 * 11491 * 16087 * 262739 * 909091 * 4685623 * 25298067963285474987552915721<29> * [6426249820...<366>] * [2702901535...<2260>] (2.08%)
10^2682+1 = 1000000000...<2683> = 101 * 1789 * 9901 * 10729 * 607921 * 999999000001<12> * 394330363955059501<18> * 136916416686052955621<21> * 12463671098882718881327685400890631793963396331809714158641277443477408779299864788341586092901595083520271865575162918829366361<128> * 8895507508554837180752614096475159767380814608706479209439730943455128688243292437421408196724545840220038878927488419955380770391177802169<139> * 1431694574...<572> * [1000000999...<1777>] (33.78%)
10^2683+1 = 1000000000...<2684> = 11 * 175580887 * 132370312441<12> * 104848176687013<15> * 683550815621211788409541725508493<33> * [5457676554...<2616>] (2.51%)
10^2684+1 = 1000000000...<2685> = 73 * 137 * 617 * 53681 * 2438537 * 90284393 * 78331659649<11> * 10399345405377216553<20> * 62122124071515581723854400288137<32> * 16205834846012967584927082656402106953<38> * 89376848303370085832547257811113680017983140270444916137<56> * 441160056784956066935585043996395720339746991856908200056965652272217569686164467898219919069368304598422319868082307673772600748575192615252243347701807248793<159> * [4240592318...<2345>] (12.64%)
10^2685+1 = 1000000000...<2686> = 7 * 11 * 13 * 211 * 241 * 2161 * 9091 * 21481 * 35801 * 42961 * 11172823 * 21206131 * 472665429211<12> * 710127817291<12> * 6586348755220675329011<22> * 406122163793038854621269776053091<33> * 523661705392754764972834211810001059<36> * 17360270948380236765442123580448180934246742941840774929827069381097446101825710313953633305039247538221205037054245870292654737645806593390849<143> * 5637215218...<312> * [2199819367...<679>] * [1262120659...<1397>] (22.74%)
10^2686+1 = 1000000000...<2687> = 101 * 5689 * 28559389 * 1491383821<10> * 2324557465671829<16> * 507998564486483655774880939989709<33> * 646301962916453492325383567253991760083617720844121<51> * 530084044837791203267418958734478905892862260111193658629289735929681<69> * [1009999999...<2497>] (7.07%)
10^2687+1 = 1000000000...<2688> = 11 * 259355473841<12> * 532994774320016237<18> * 49328822036034948619<20> * 6411504862262438002418447<25> * [2079353006...<2613>] (2.78%)
10^2688+1 = 1000000000...<2689> = 257 * 15361 * 434689 * 453377 * 859393 * 7710977 * 12939800833<11> * 45501964033<11> * 30094191703297<14> * 33649448872371457<17> * 145778507161340929<18> * 4560897401317754430626820629544566062629889<43> * 142018149548859447798990430842371897431582393270575475042667940048026473157944321<81> * 55871187633753621225794775009016131346430842253464047463157158784732544216230781165223702155223678309562822667655169<116> * 38425031666569023499290434804662265509189764624919574336880482034091688791929134441331363930601958862159411412508866084507001318401<131> * [4829281873...<698>] * [3322900345...<1523>] (17.40%)
10^2689+1 = 1000000000...<2690> = 11 * 642133201 * [1415735719...<2680>] (0.37%)
10^2690+1 = 1000000000...<2691> = 101 * 3229 * 3541 * 5381 * 8609 * 27961 * 4305405011749<13> * 149166495278321<15> * 355838514399900341881<21> * 7920513256292637220195721<25> * 3089089355818193612782932100061<31> * 2324828435...<496> * [2716442473...<1013>] * [1893227426...<1059>] (23.02%)
10^2691+1 = 1000000000...<2692> = 7 * 11 * 13^2 * 19 * 47 * 139 * 157 * 859 * 2531 * 6397 * 31051 * 41263 * 52579 * 107641 * 216451 * 461917 * 2142037 * 60034573 * 1058313049<10> * 7534697743<10> * 32494323733<11> * 37916801893<11> * 388847808493<12> * 564362592691<12> * 40118979906877<14> * 143574021480139<15> * 549797184491917<15> * 143409436964525899<18> * 1528411013354047447<19> * 831759677425747570837717<24> * 24649445347649059192745899<26> * 49462885782449177777584561<26> * 16600045372198176463698583051489<32> * 20186272871950202514968048148247<32> * 117680633072620952134930832292859<33> * 8506605834248913330852032305919581849<37> * 1880709802856952955373413305337158032187793270681<49> * 1281657376897297354090423403366881099978010686253604381263<58> * 36096800156828895568286578224818258719817914995401933354161<59> * 75691170432105638169937308505913924514228814615635050477687293<62> * 348953870513908636566325964119116561382775844756670203139413369145466843559239862216107575333780861060309557540714055579224966141897413<135> * [5269656631...<425>] * [4932240392...<1493>] (28.75%)
10^2692+1 = 1000000000...<2693> = 73 * 137 * 4609744264246201351654201193<28> * 2169100827...<2661> (100.00%)
10^2693+1 = 1000000000...<2694> = 11 * 166788263 * [5450568839...<2684>] (0.34%)
10^2694+1 = 1000000000...<2695> = 101 * 9901 * 116741 * 1047678641<10> * 14233727449<11> * 454314878228367241<18> * 2886354458906795587641947282821<31> * [2804642194...<852>] * [1561871622...<1765>] (2.91%)
10^2695+1 = 1000000000...<2696> = 11^2 * 23 * 197 * 331 * 463 * 491 * 3851 * 4093 * 5171 * 8779 * 9091 * 18131 * 24179 * 590437 * 909091 * 4147571 * 7444361 * 80073841 * 170873011 * 20163494891<11> * 5151849619841<13> * 265212793249617641<18> * 4539402627853030477<19> * 10299861994620848651<20> * 4924630160315726207887<22> * 318727841165674579776721<24> * 653518704357372488880162997801<30> * 5076141624365532994918781726395939035533<40> * 1051543809110704722613632495009411089889481<43> * 3815465557445576556927066195758955772398238343771<49> * 171885313809023973316297299617001972028698082056007969699724137675797535402763434997577528908814962221209301350715566313549141490281<132> * 344341844846703786817473277913191388002951653836331226276069207904024253974360331148938523782918481623963597196523579507803885921997278081<138> * [1000000099...<421>] * [2353502759...<1641>] (23.55%)
10^2696+1 = 1000000000...<2697> = 17 * 5393 * 5882353 * [1854255497...<2685>] (0.44%)
10^2697+1 = 1000000000...<2698> = 7 * 11 * 13 * 59 * 373 * 44641 * 5733823 * 3590254957<10> * 638453709757<12> * 728008898249<12> * 135080726389891<15> * 6271711773186732241081<22> * 154083204930662557781201849<27> * 909090909090909090909090909091<30> * 1274194732898148471766404179653<31> * 1783819981751579676826660296718813<34> * 19139674963189505655771688512382087<35> * 18381907262281244633158190677786966663091011<44> * [7718379575...<754>] * [1450959535...<1659>] (10.57%)
10^2698+1 = 1000000000...<2699> = 101 * 569 * 7669 * 380623849488714809<18> * 722817036322379041<18> * 1369778187490592461<19> * 7716926518833508778689508504941<31> * 93611382287513950329431625811490669<35> * 82519882659061966708762483486719446639288430446081<50> * [1009999999...<2521>] (6.60%)
10^2699+1 = 1000000000...<2700> = 11 * [9090909090...<2698>] (0.04%)
10^2700+1 = 1000000000...<2701> = 73 * 137 * 401 * 1201 * 1601 * 3169 * 32401 * 98641 * 1676321 * 99990001 * 265183201 * 5964848081<10> * 14767753476961<14> * 68667861240001<14> * 72132253909201<14> * 321473851171201<15> * 3199044596370769<16> * 11025881611767712801<20> * 178601070881582358375601<24> * 100009999999899989999000000010001<33> * 1726290008991504500177463302688697<34> * 4711806100010561082466291127577601<34> * 95853807664312827399794371014650641<35> * 579276943498154282123686999881829009033<39> * 1216057084775405433757097429262954022602494154001<49> * 4482637729513780747000872935673625025127940754401<49> * 39340929985040037939860550511566010202173435808159761<53> * 129694419029057750551385771184564274499075700947656757821537291527196801<72> * 14612365731240570382005793941286349536257260783370326347124974631092755601<74> * [6771510653...<275>] * [1432241739...<395>] * [1831064536...<1394>] (23.62%)